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Simplifying 3(3x + -5) + 4x = 7x + 2 Reorder the terms: 3(-5 + 3x) + 4x = 7x + 2 (-5 * 3 + 3x * 3) + 4x = 7x + 2 (-15 + 9x) + 4x = 7x + 2 Combine like terms: 9x + 4x = 13x -15 + 13x = 7x + 2 Reorder the terms: -15 + 13x = 2 + 7x Solving -15 + 13x = 2 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -15 + 13x + -7x = 2 + 7x + -7x Combine like terms: 13x + -7x = 6x -15 + 6x = 2 + 7x + -7x Combine like terms: 7x + -7x = 0 -15 + 6x = 2 + 0 -15 + 6x = 2 Add '15' to each side of the equation. -15 + 15 + 6x = 2 + 15 Combine like terms: -15 + 15 = 0 0 + 6x = 2 + 15 6x = 2 + 15 Combine like terms: 2 + 15 = 17 6x = 17 Divide each side by '6'. x = 2.833333333 Simplifying x = 2.833333333
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